PLEASE ANSWER USING THE OZ PROGRAMMING LANGUAGE:

In the following we will use environments

E₁ = {X --> x₁, Y --> x₂}

E₂ = {Y --> x₃, Z --> x₄}

E₃ = {X --> x₅, Z --> x₆}

1. Find all possible i and j with i, j ???? {1, 2, 3} such that for the environment E = E_i + E_j, we have E(X) = x₁ and E(Z) = x₆. Give an example of Oz program fragment usinglocal statement which has the environment E.